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Finding the Fourth Proportional to 111.96, 168.63 and 85.10

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Solution

The fourth proportional to 111.96, 168.63 and 85.10 is: 128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.96 : 168.63 = 85.10 : x
  2. Step 2: Convert to fraction form
    111.96/168.63 = 85.10/x
  3. Step 3: Cross multiply
    111.96x = 168.63 × 85.10
  4. Step 4: Simplify right side
    111.96x = 14,349.25
  5. Step 5: Solve for x
    x = 14,349.25/111.96
  6. Step 6: Final answer
    x = 128.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.